A parallel domain decomposition algorithm of mixed element equation for second-order elliptic Dirichlet boundary value problem
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Publication:1855702
DOI10.1016/S0096-3003(01)00047-9zbMath1025.65062MaRDI QIDQ1855702
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
convergencedomain decompositionfinite elementparallel computationSchwarz iterationselliptic Dirichlet problems
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)
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Cites Work
- Superconvergence of mixed finite element methods on rectangular domains
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements for second order elliptic problems in three variables
- Mixed finite elements in \(\mathbb{R}^3\)
- Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. I: Algorithms and numerical results
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- Domain Decomposition Algorithms for Indefinite Elliptic Problems
- Analysis of the Schwarz algorithm for mixed finite elements methods
- Analysis of mixed methods using conforming and nonconforming finite element methods
- An analysis of the convergence of mixed finite element methods
- On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
- Equivalent Norms for Sobolev Spaces
- Analysis of a parallel Schwarz algorithm for elliptic problems
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